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Representations of the Extended Poincare Superalgebras in Four Dimensions
(2016-05-13)
Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ...
On the Quantum Spaces of Some Quadratic Regular Algebras of Global Dimension Four
(2016-05-10)
A quantum $\mathbb{P}^3$ is a noncommutative analogue of a polynomial ring on four variables, and, herein, it is taken to be a regular algebra of global dimension four. It is well known that if a generic quadratic quantum ...
Simple Weight Modules of the Lie Algebra of Vector Fields of C2
(2017-08-14)
Classification of the weight modules of the Lie algebra Wn of vector fields on C n has been a long-standing problem in the area of representation theory. In this thesis, a classification of all simple weight modules of W2 ...